Please solve (iii) bybusing product rule, as i have attached the formula. please solve accurate i will rate it up.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please solve (iii) bybusing product rule, as i have attached the formula.

please solve accurate i will rate it up. 

Product Rule
for example, ifyoa are asked ta
differe ate y:x'cos3x
in this Case ve have fwo functias
Mu lkpred fogeth e, ox'and cos 3oc
you Can mite the equation as
where u:x and v: cos 3x.
Product Rule:
if y=uv
dy
- udv, vdu
dx
dx
v: cos3x
dv
do
こdx
:-3 sin 3x
dx
2x
d
dy : -3sin 30c + 2xcos3x
dy x(-3x sin 3ox + 2cos 3x)
Transcribed Image Text:Product Rule for example, ifyoa are asked ta differe ate y:x'cos3x in this Case ve have fwo functias Mu lkpred fogeth e, ox'and cos 3oc you Can mite the equation as where u:x and v: cos 3x. Product Rule: if y=uv dy - udv, vdu dx dx v: cos3x dv do こdx :-3 sin 3x dx 2x d dy : -3sin 30c + 2xcos3x dy x(-3x sin 3ox + 2cos 3x)
(ii)
The instantaneous power associated with a cutting device is given by the following circular
equation:
P(t) = 20Sin(100 t)Cos(100rt)
Determine the rate of change of P(t) at t-1second.
Transcribed Image Text:(ii) The instantaneous power associated with a cutting device is given by the following circular equation: P(t) = 20Sin(100 t)Cos(100rt) Determine the rate of change of P(t) at t-1second.
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